Online GCD Calculator is useful to find the GCD of 144, 716, 355, 855 quickly. Get the easiest ways to solve the greatest common divisor of 144, 716, 355, 855 i.e 1 in different methods as follows.
Given Input numbers are 144, 716, 355, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (144, 716, 355, 855) = 1.
Given numbers are 144, 716, 355, 855
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 716 are 2 x 2 x 179
Prime factors of 355 are 5 x 71
Prime factors of 855 are 3 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 716, 355, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 716) = 25776
GCD(144, 716) = ( 144 x 716 ) / 25776
= 144 / 716
= 144
Step2:
LCM(4, 355) = 1420
GCD(4, 355) = ( 4 x 355 ) / 1420
= 4 / 355
= 4
Step3:
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
= 1 / 855
= 1
So, Greatest Common Divisor of 144, 716, 355, 855 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 716, 355, 855
The greatest common divisor of numbers 144, 716, 355, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 716, 355, 855 is 1.
1. What is the GCD of 144, 716, 355, 855?
GCD of given numbers 144, 716, 355, 855 is 1
2. How to calculate the greatest common divisor of 144, 716, 355, 855?
We can find the highest common divisor of 144, 716, 355, 855 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 144, 716, 355, 855 i.e 1.
3. How can I use the GCD of 144, 716, 355, 855Calculator?
Out the numbers 144, 716, 355, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.